Solve Equivalent Resistance: Points A and B

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SUMMARY

The discussion focuses on calculating the equivalent resistance between points A and B in a circuit involving resistors R1, R2, R3, R4, R5, and R6. The correct approach involves first determining the equivalent resistance of resistors R3, R4, and R5 in series, which is then combined with R1 and R2 in parallel with the series combination plus R6. The final equivalent resistance is confirmed to be 0.838 ohms, as stated in the reference textbook. This method utilizes the fundamental equations for series and parallel resistances.

PREREQUISITES
  • Understanding of series and parallel resistor configurations
  • Familiarity with Ohm's Law and basic electrical principles
  • Ability to manipulate algebraic equations for resistance calculations
  • Knowledge of resistor notation and units (ohms)
NEXT STEPS
  • Study the principles of series and parallel circuits in electrical engineering
  • Learn how to apply Kirchhoff's laws to circuit analysis
  • Explore advanced resistor network problems and their solutions
  • Investigate the use of simulation tools like LTspice for circuit analysis
USEFUL FOR

This discussion is beneficial for electrical engineering students, educators teaching circuit theory, and hobbyists working on electronics projects involving resistor networks.

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Homework Statement



https://www.physicsforums.com/attachment.php?attachmentid=11955&stc=1&d=1197437955

Find the equivalent resistance between points A and B shown in the link above

Homework Equations



for parallel, equivalent resistance is =1/R1 +1/R2 +1/R3...
equivavalent resistance for series is = R1 + R2 + R3

The Attempt at a Solution



i believe they are all parallel or R3, R4, R5, and R6 are series becouse they depend on each other
 

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1/R= 1/1.5 + 1/2.5 + 1/4.3 +1/3.3 + 1/8.1 +1/6.3 =1.88
r=.53 ohm. this is not correct. the back of my book says .838 and can someone tell me how they got that answer
 
First find the parallel resistance of R3, R4 and R5, call it maybe R'. Now you see that R1, R2 and the series combination (R'+R6) are in parallel. That will give you the answer.
 
when can you say that the voltage in the loop will be zero? not in this case?
 
The voltage around any loop is zero, but that is not needed here. This problem can be solved using series and parallel rules for combining resistors.
 

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